Find adjacent angles if one of them is 1) 3 times the second 2) 72 degrees larger than the second.

Objective 1.

1. Suppose one of the adjacent angles is x degrees.

2. Then another x * 3 = 3x degrees.

Let’s make an equation and determine the degree measure of one of the angles.

x + 3x = 180;

4x = 180;

x = 180/4 = 45 °.

Answer: One is 45 °, the other is x * 3 = 45 * 3 = 135 °.

Objective 2.

1. One of the adjacent angles is x degrees.

2. Another (x + 72) degrees.

3. Using the equation, define one angle.

x + x + 72 = 180;

2x = 180 – 72 = 108;

x = 108/2 = 54 °.

Answer: One of the adjacent angles is 54 °, the other is x + 72 = 54 + 72 = 126 °.